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Finding the Fourth Proportional to 69,134.96, 103,695.96 and 22,388.24

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Solution

The fourth proportional to 69,134.96, 103,695.96 and 22,388.24 is: 33,580.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,134.96 : 103,695.96 = 22,388.24 : x
  2. Step 2: Convert to fraction form
    69,134.96/103,695.96 = 22,388.24/x
  3. Step 3: Cross multiply
    69,134.96x = 103,695.96 × 22,388.24
  4. Step 4: Simplify right side
    69,134.96x = 2,321,570,039.51
  5. Step 5: Solve for x
    x = 2,321,570,039.51/69,134.96
  6. Step 6: Final answer
    x = 33,580.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.